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Finding the Fourth Proportional to 331,534.72, 497,305.54 and 265,395.28

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Solution

The fourth proportional to 331,534.72, 497,305.54 and 265,395.28 is: 398,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,534.72 : 497,305.54 = 265,395.28 : x
  2. Step 2: Convert to fraction form
    331,534.72/497,305.54 = 265,395.28/x
  3. Step 3: Cross multiply
    331,534.72x = 497,305.54 × 265,395.28
  4. Step 4: Simplify right side
    331,534.72x = 131,982,543,033.85
  5. Step 5: Solve for x
    x = 131,982,543,033.85/331,534.72
  6. Step 6: Final answer
    x = 398,095.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.